Problem: Kana was just an ordinary high school girl before a talent scout discovered her. Then, she became an idol. But different from the stereotype, she is also a gameholic. 

One day Kana gets interested in a new adventure game called Dragon Quest. In this game, her quest is to beat a dragon.

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The dragon has a hit point of x initially. When its hit point goes to 0 or under 0, it will be defeated. In order to defeat the dragon, Kana can cast the two following types of spells. 

  * Void Absorption

Assume that the dragon's current hit point is h, after casting this spell its hit point will become \left⌊ h/2 \right⌋ + 10. Here \left⌊ h/2 \right⌋ denotes h divided by two, rounded down.

  * Lightning Strike

This spell will decrease the dragon's hit point by 10. Assume that the dragon's current hit point is h, after casting this spell its hit point will be lowered to h-10.




Due to some reasons Kana can only cast no more than n Void Absorptions and m Lightning Strikes. She can cast the spells in any order and doesn't have to cast all the spells. Kana isn't good at math, so you are going to help her to find out whether it is possible to defeat the dragon.

Input

The first line contains a single integer t (1 ≤ t ≤ 1000) — the number of test cases.

The next t lines describe test cases. For each test case the only line contains three integers x, n, m (1≤ x ≤ 10^5, 0≤ n,m≤30) — the dragon's intitial hit point, the maximum number of Void Absorptions and Lightning Strikes Kana can cast respectively.

Output

If it is possible to defeat the dragon, print "YES" (without quotes). Otherwise, print "NO" (without quotes).

You can print each letter in any case (upper or lower).

Example

Input


7
100 3 4
189 3 4
64 2 3
63 2 3
30 27 7
10 9 1
69117 21 2


Output


YES
NO
NO
YES
YES
YES
YES

Note

One possible casting sequence of the first test case is shown below:

  * Void Absorption \left⌊ 100/2 \right⌋ + 10=60.
  * Lightning Strike 60-10=50.
  * Void Absorption \left⌊ 50/2 \right⌋ + 10=35.
  * Void Absorption \left⌊ 35/2 \right⌋ + 10=27.
  * Lightning Strike 27-10=17.
  * Lightning Strike 17-10=7.
  * Lightning Strike 7-10=-3.

Solution (in JAVA):

Solution:
import java.io.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;
import java.util.*;

public class Codeforces {

    private static final Scanner sc = new Scanner(System.in);
    private static final BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
    private static final long MOD = (long) (1e9 + 7);

    public static int[] LPS(String p){
        int[] lps = new int[p.length()];

        int i=1;
        int j=0;
        while (i < p.length()){
            if (p.charAt(i) == p.charAt(j)){
                lps[i] = j+1;
                i++;
                j++;
            }
            else{
                if (j == 0){
                    lps[i] = 0;
                    i++;
                }
                else{
                    j = lps[j-1];
                }
            }
        }
        return lps;
    }

    public static void KMP(String text,String pattern){
        int[] lps = LPS(pattern);
        int i = 0;
        int j = 0;
        ArrayList<Integer> matches = new ArrayList<>();
        while (i < text.length()){
            if (text.charAt(i) == pattern.charAt(j)){
                i++;
                j++;
            }
            else{
                if (j != 0){
                    j = lps[j-1];
                }
                else {
                    i++;
                }
            }
            if (j == pattern.length()) {
                matches.add(i - j);
                j = lps[j-1];
            }
        }
        for (int x : matches){
            System.out.println("Match at : " + x);
        }
    }

    private static class SegmentTree{
        private long[] st;
        private int size;
        private int n;
        private long[] a;
        SegmentTree(long[] a,int n){
            this.size = 4*n;
            this.n = n;
            this.a = a;
            st = new long[size];
            //Arrays.fill(st,Integer.MIN_VALUE);
            buildSegmentTree(0,0,n-1);
            //printSegmentTree();
        }
        public long buildSegmentTree(int index,int l,int r){
            if (l == r){
                st[index] = a[l];
                return a[l];
            }
            int mid = (r+l) >> 1;
            return st[index] = buildSegmentTree(2*index+1,l,mid) + buildSegmentTree(2*index+2,mid+1,r);
        }
        public void printSegmentTree(){
            for (long x : st){
                System.out.print(x + " ");
            }
            System.out.println();
        }
        public long query(int ql,int qr){
            return getQuery(0,0,n-1,ql-1,qr-1);
        }
        private long getQuery(int index,int sl,int sr,int ql,int qr){
            //System.out.println("#" + index);
            if (qr < sl || ql > sr)
                return 0;
            if (ql <= sl && qr >= sr)
                return st[index];
            int mid = (sr + sl) >> 1;
            return getQuery(2*index+1,sl,mid,ql,qr) + getQuery(2*index+2,mid+1,sr,ql,qr);
        }
        public void update(int i,long newVal){
            //long diff = newVal - a[i];
            a[i] = newVal;
            updateSegmentTree(0,i,0,n-1,newVal);
        }
        private void updateSegmentTree(int index,int i,int sl,int sr,long diff){
            if (sl == sr){
                st[index] = diff;
                return;
            }
            int mid = (sl + sr) >> 1;
            if (i <= mid)
                updateSegmentTree(2*index+1,i,sl,mid,diff);
            else
                updateSegmentTree(2*index+2,i,mid+1,sr,diff);
            st[index] = st[2*index+1] + st[2*index+2];
        }
    }

    public static class Pair<T1,T2>{
        T1 first;
        T2 second;
        Pair(T1 a,T2 b){
            this.first = a;
            this.second = b;
        }

        @Override
        public String toString() {
            return "[" + first + ", " + second + "]";
        }
    }

    public static long GCD(long a,long b){
        if (b == 0)
            return a;
        return GCD(b,a%b);
    }

    static int highestPowerOf2(int n) {
        int p = (int)(Math.log(n) /
                Math.log(2));
        return (int)Math.pow(2, p);
    }

    public static int binSearch(long[] a,long x){
        int l = 0;
        int r = a.length - 1;
        while (l <= r){
            int mid = l + (r-l)/2;
            if (a[mid]==x)
                return 1;
            else if (a[mid] < x)
                l = mid+1;
            else
                r = mid-1;
        }
        return -1;
    }

    public static int upperBound(long[] arr,long key){
        int start=0;int end=arr.length-1;
        int idx=-1;
        int mid;
        while(start<=end){
            int i=(start+end)/2;
            if(arr[i]<key){
                start=i+1;
            }
            else if(arr[i]>key){
                end=i-1;
            }
            else{
                idx=i;
                start=i+1;
            }
        }

        return idx;    }

    public static int lowerBound(long[] arr,long key){
        int start=0;int end=arr.length-1;
        int idx=-1;
        int mid;
        while(start<=end){
            int i=(start+end)/2;
            if(arr[i]<key){
                start=i+1;
            }
            else if(arr[i]>key){
                end=i-1;
            }
            else{
                idx=i;
                end=i-1;
            }
        }
        return idx;
    }

    public static int searchInsert(long[] nums, long target) {
        int s=0,e=nums.length-1;
        int mid;
        if(target<nums[0]){
            return 0;
        }
        while(s<=e){
            mid=(s+e)/2;
            if(nums[mid]>target){
                e=mid-1;
            }
            else if(nums[mid]==target){
                return mid;
            }
            else{
                s=mid+1;
            }
        }
        return s;
    }

    static boolean isPrime(long n) {
        if (n <= 1)
            return false;
        if (n <= 3)
            return true;

        if (n % 2 == 0 || n % 3 == 0)
            return false;

        for (long i = 5; i <= Math.sqrt(n) + 1; i += 6)
            if (n % i == 0 || n % (i + 2) == 0)
                return false;

        return true;
    }

    public static long fastExpo(long a,int n,int mod){
        if (n == 0)
            return 1;
        else{
            if ((n&1) == 1){
                long x = fastExpo(a,n/2,mod);
                return (((a*x)%mod)*x)%mod;
            }
            else{
                long x = fastExpo(a,n/2,mod);
                return (((x%mod)*(x%mod))%mod)%mod;
            }
        }
    }

    public static long modInverse(long n,int p){
        return fastExpo(n,p-2,p);
    }

    public static long nCr(int n,int r,long[] fact,int mod){
        long val =  (((fact[n] * modInverse(fact[r],mod))%mod)*modInverse(fact[n-r],mod))%mod;
        return val;
    }

    public static void factorial(long[] fact,int n,int mod){
        for (int i=1;i<=n;i++){
            fact[i] = (fact[i-1] * i)%mod;
        }
    }

    public static int log2(long val){
        return (int) Math.floor(Math.log(val)/Math.log(2));
    }

    public static boolean isSubSequence(String s,String t){
        int i = 0;
        int j = 0;
        while (i < s.length() && j < t.length()){
            if (s.charAt(i) == t.charAt(j))
                j++;
            i++;
        }
        return j == t.length();
    }

    public static ArrayList<Long> getAllFactors(long x){
        ArrayList<Long> ans = new ArrayList<>();
        for (long i = 1; i <= Math.sqrt(x); i++) {
            if (x%i == 0){
                if (x/i == i){
                    ans.add(i);
                }
                else{
                    ans.add(i);
                    ans.add(x/i);
                }
            }
        }
        return ans;
    }

    public static boolean isPerfectSquare(long x){
        double val = Math.sqrt(x);
        return val*val == (double)x;
    }

    public static ArrayList<Integer> buildSieve(int n){
        boolean[] sieve = new boolean[n+1];
        Arrays.fill(sieve,true);
        sieve[0] = sieve[1] = false;
        for (int i = 2; i <= Math.sqrt(n+1) ; i++) {
            if (sieve[i]){
                for (int j = 2*i; j < n+1; j += i) {
                    sieve[j] = false;
                }
            }
        }
        ArrayList<Integer> primes = new ArrayList<>();
        for (int i = 0; i < sieve.length; i++) {
            if (sieve[i]){
                primes.add(i);
            }
        }
        return primes;
    }

    public static int getLowBit(int n){
        int x = 0;
        while ((n&1) != 1){
            x++;
            n >>= 1;
        }
        return 1 << x;
    }

    public static void solve() throws IOException {
        int x = sc.nextInt();
        int n = sc.nextInt();
        int m = sc.nextInt();

        while (n > 0 && x > 20){
            x = x/2 + 10;
            n--;
        }

        while (m > 0 && x > 0){
            x -= 10;
            m--;
        }

        if (x <= 0){
            System.out.println("YES");
        }
        else
            System.out.println("NO");
    }
    public static void main(String[] args) throws IOException {
        int t;
        t = sc.nextInt();
//        t = 1;
        while (t-- > 0){
            solve();
        }
        System.gc();
    }
}